7[8-(-6x-5)]=84x+126

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Solution for 7[8-(-6x-5)]=84x+126 equation:


Simplifying
7[8 + -1(-6x + -5)] = 84x + 126

Reorder the terms:
7[8 + -1(-5 + -6x)] = 84x + 126
7[8 + (-5 * -1 + -6x * -1)] = 84x + 126
7[8 + (5 + 6x)] = 84x + 126

Combine like terms: 8 + 5 = 13
7[13 + 6x] = 84x + 126
[13 * 7 + 6x * 7] = 84x + 126
[91 + 42x] = 84x + 126

Reorder the terms:
91 + 42x = 126 + 84x

Solving
91 + 42x = 126 + 84x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-84x' to each side of the equation.
91 + 42x + -84x = 126 + 84x + -84x

Combine like terms: 42x + -84x = -42x
91 + -42x = 126 + 84x + -84x

Combine like terms: 84x + -84x = 0
91 + -42x = 126 + 0
91 + -42x = 126

Add '-91' to each side of the equation.
91 + -91 + -42x = 126 + -91

Combine like terms: 91 + -91 = 0
0 + -42x = 126 + -91
-42x = 126 + -91

Combine like terms: 126 + -91 = 35
-42x = 35

Divide each side by '-42'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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